From a group of 3 men and 2 women, two persons are selected at random. Find the probability that atleast one woman is selected.

\frac{1}{5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{7}{10}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{2}{5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{5}{6}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{7}{10}$
$n (S) =^{5} C_{2} = 10 n (E) = (^{2} C_{1} \times^{3} C_{1}) + (^{2} C_{2}) = 7 ∴ P (E) = \frac{7}{10}$

Suggest Corrections

Similar questions

Four persons are selected at random out of 3 men, 2 women and 4 children. The probability that there are exactly 2 children in the selection is

From a group of $3$ man and $2$ women, two person are selected at random. Find the probability that at least one women is selected.

3

2

4

1

1

2

2

2

10

45

Join BYJU'S Learning Program